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Finding the Fourth Proportional to 257,054.97, 354,724.18 and 142,325.49

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Solution

The fourth proportional to 257,054.97, 354,724.18 and 142,325.49 is: 196,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,054.97 : 354,724.18 = 142,325.49 : x
  2. Step 2: Convert to fraction form
    257,054.97/354,724.18 = 142,325.49/x
  3. Step 3: Cross multiply
    257,054.97x = 354,724.18 × 142,325.49
  4. Step 4: Simplify right side
    257,054.97x = 50,486,292,733.35
  5. Step 5: Solve for x
    x = 50,486,292,733.35/257,054.97
  6. Step 6: Final answer
    x = 196,402.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.